You are correct. In terms of scientific definitions, AO, ZrO, SiC, BC, CBN are all ceramics.
"Ceramic materials are inorganic, non-metallic materials made from compounds of a metal and a non metal."--wikipedia
http://en.wikipedia.org/wiki/Ceramic_materials
One should modify that definition to include metalloids as well as metals (for example, silicon and boron are "metalloids").
http://www.chemicalelements.com/groups/metalloids.html
In the forums, we often don't use scientific terminology. So here, informally, "ceramic" almost always only refers to a sharpening stone which is aluminum-oxide (AO). Not only that, "ceramic" usually means the very hard form of aluminum oxide, which is usually made with a very hard binder, or sintered together.
Informally, "ceramic" is considered to be different that, say, man-made waterstones that use aluminum-oxide. This is because waterstones are designed to break down quickly when sharpening, and have a softer weaker binder. Since man-made waterstones are designed to be similar to natural waterstones, they are put in a category which is separate, because waterstones are rather different than say, oil-stones and other abrasives.
So mostly, in informal discussions, you can replace "ceramic" with "aluminum oxide with a hard binder".
An exception is for flexible sanding paper and belts; then the binder for aluminum oxide "ceramic" need not be hard. The other ceramics (such as ZrO, SiC, etc.) are usually discussed by name. For example,"I used a ceramic belt (aluminum oxide), and then switched to SiC." Or,"After sharpening on a 2000 grit ceramic stone, I switched over to an 8000 grit (man made) waterstone."
Only sometimes in these forums, when there is are more technical use of the term "ceramic" will it actually mean, scientifically, all ceramics. btw, the above is not not some rule written in stone, but simply what I personally have observed.
Sincerely,
--Lagrangian